Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
568 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 83 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19134326 | C2 | semidirect |
| 3. #19132906 | C2 | semidirect |
| 4. #19132593 | C2 | semidirect |
| 5. #19132592 | C2 | semidirect |
| 6. #19132591 | C2 | semidirect |
| 7. C43×#1343 | C2 | semidirect |
| 8. C2×#13063321 | C4 | semidirect |
| 13. #14582817 | C4 | semidirect |
| 15. #14582813 | C4 | semidirect |
| 19. #14582763 | C4 | semidirect |
| 233. #1343 | D43 | semidirect |
| 262. C43 | #11693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140344 | 2 |
| #19134326 | 2 |
| #19132906 | 2 |
| #19132593 | 2 |
| #19132592 | 2 |
| #19132591 | 2 |
| C43×#1343 | 2 |
| #11693 | 43 |